%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN575-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:17:38 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 34 ( 13 unt; 1 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 109 ( 59 ~; 49 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
fof(f3,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_3) ).
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f5,negated_conjecture,
p9(c12,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_5) ).
fof(f6,negated_conjecture,
p11(c14,c15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_6) ).
fof(f8,negated_conjecture,
! [X0] : p3(f6(f5(X0)),f6(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).
fof(f10,negated_conjecture,
! [X0] :
( p9(X0,f6(c14))
| ~ p9(X0,c13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_10) ).
fof(f16,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_16) ).
fof(f19,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p9(X2,X3)
| ~ p7(X2,X0)
| p9(X0,X1)
| ~ p3(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_19) ).
fof(f21,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X1,f5(X2))
| p9(f8(X0,X1),f6(X1))
| ~ p11(X2,c15)
| ~ p9(c12,X0)
| p9(f8(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_21) ).
fof(f22,negated_conjecture,
! [X2,X0,X1] :
( ~ p9(f8(X1,X2),f6(X2))
| ~ p9(c12,X1)
| ~ p2(X2,f5(X0))
| ~ p9(f8(X1,X2),X1)
| ~ p11(X0,c15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_22) ).
fof(f28,plain,
! [X0,X1] :
( ~ p3(X0,X1)
| p3(X1,X0) ),
inference(resolution,[],[f16,f3]) ).
fof(f36,plain,
! [X0] : p3(f6(X0),f6(f5(X0))),
inference(resolution,[],[f28,f8]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ p3(f6(c14),X2)
| p9(X1,X2)
| ~ p7(X0,X1)
| ~ p9(X0,c13) ),
inference(resolution,[],[f19,f10]) ).
fof(f53,plain,
! [X0,X1] :
( p9(f8(X0,f5(X1)),f6(f5(X1)))
| p9(f8(X0,f5(X1)),X0)
| ~ p9(c12,X0)
| ~ p11(X1,c15) ),
inference(resolution,[],[f21,f4]) ).
fof(f117,plain,
! [X0,X1] :
( ~ p9(X1,c13)
| ~ p7(X1,X0)
| p9(X0,f6(f5(c14))) ),
inference(resolution,[],[f46,f36]) ).
fof(f138,plain,
! [X0] :
( p9(f8(f6(f5(X0)),f5(X0)),f6(f5(X0)))
| ~ p9(c12,f6(f5(X0)))
| ~ p11(X0,c15) ),
inference(factoring,[],[f53]) ).
fof(f213,plain,
! [X0,X1] :
( ~ p9(c12,f6(f5(X0)))
| ~ p11(X0,c15)
| ~ p9(c12,f6(f5(X0)))
| ~ p2(f5(X0),f5(X1))
| ~ p9(f8(f6(f5(X0)),f5(X0)),f6(f5(X0)))
| ~ p11(X1,c15) ),
inference(resolution,[],[f138,f22]) ).
fof(f215,plain,
! [X0,X1] :
( ~ p9(c12,f6(f5(X0)))
| ~ p11(X0,c15)
| ~ p2(f5(X0),f5(X1))
| ~ p9(f8(f6(f5(X0)),f5(X0)),f6(f5(X0)))
| ~ p11(X1,c15) ),
inference(duplicate_literal_removal,[],[f213]) ).
fof(f216,plain,
! [X0,X1] :
( ~ p9(c12,f6(f5(X0)))
| ~ p11(X0,c15)
| ~ p2(f5(X0),f5(X1))
| ~ p11(X1,c15) ),
inference(forward_subsumption_resolution,[],[f215,f138]) ).
fof(f362,plain,
! [X0] :
( p9(X0,f6(f5(c14)))
| ~ p7(c12,X0) ),
inference(resolution,[],[f117,f5]) ).
fof(f366,definition,
( spl0_4
<=> ! [X1] :
( ~ p2(f5(c14),f5(X1))
| ~ p11(X1,c15) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f367,plain,
( ! [X1] :
( ~ p2(f5(c14),f5(X1))
| ~ p11(X1,c15) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f377,plain,
( ~ p11(c14,c15)
| ~ spl0_4 ),
inference(resolution,[],[f367,f4]) ).
fof(f378,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f377,f6]) ).
fof(f379,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f378]) ).
fof(f539,plain,
! [X0] :
( ~ p11(c14,c15)
| ~ p2(f5(c14),f5(X0))
| ~ p11(X0,c15)
| ~ p7(c12,c12) ),
inference(resolution,[],[f216,f362]) ).
fof(f543,plain,
! [X0] :
( ~ p2(f5(c14),f5(X0))
| ~ p11(X0,c15)
| ~ p7(c12,c12) ),
inference(forward_subsumption_resolution,[],[f539,f6]) ).
fof(f544,plain,
! [X0] :
( ~ p2(f5(c14),f5(X0))
| ~ p11(X0,c15) ),
inference(forward_subsumption_resolution,[],[f543,f2]) ).
fof(f545,plain,
spl0_4,
inference(avatar_split_clause,[],[f544,f366]) ).
cnf(s4,plain,
~ spl0_4,
inference(sat_conversion,[],[f379]) ).
cnf(s5,plain,
spl0_4,
inference(sat_conversion,[],[f545]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s4,s5]) ).
fof(f546,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN575-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n003.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 16:32:42 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.26 % (1736076)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (1736084)dis+10_1_sil=32000:sp=arity:random_seed=2072614301:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.26 % (1736082)% WARNING: option uhcvi not known.
% 0.08/0.26 % (1736084) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1736076-1736084"...
% 0.08/0.26 % (1736082)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2226755415:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.26 % (1736081)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4000844410_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.26 % (1736084)...printing done.
% 0.08/0.26 % (1736083)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1866919272:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.26 % (1736085)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1637807856:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.26 % (1736084)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.26 % (1736084)------------------------------
% 0.08/0.26 % (1736084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (1736084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (1736084)CaDiCaL version: 2.1.3
% 0.08/0.26 % (1736084)Termination reason: Refutation
% 0.08/0.26 % (1736084)Time elapsed: 0.007 s
% 0.08/0.26 % (1736084)Peak memory usage: 11 MB
% 0.08/0.26 % (1736084)Instructions burned: 18 (million)
% 0.08/0.26 % (1736076)Success in time 0.031 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------